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A dentist uses a small mirror that gives a magnification of 4 when it is held 0.60 cm from a tooth. The radius of curvature of the mirror is :

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1.60 cm (convex)

0.8 cm (concave)

1.60 cm (concave)

0.8 cm (convex)

answer is C.

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Detailed Solution

Here m = $- \frac{v}{u} = 4 \Rightarrow v = - 4 u .$ By mirror formula $\frac{1}{- 4 u} + \frac{1}{u} = \frac{1}{f}$

$\Rightarrow f = \frac{4}{3} u but u = - 0.6 so f = - 0.8 cm$

⇒ R = 1.6 cm (concave)

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